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Stochastic Analysis and Application Research Center

Seminars&Colloquia

  • 세미나 안내: STRICHARTZ ESTIMATES FOR SPACE-TIME FRACTIONAL SCHRODINGER EQUATIONS
  • 관리자 |
  • 2020-11-06 16:14:01|
  • 96
  • 일시
  • 2020.11.06.(금) 16:30-18:00
  • 장소
  • 고려대학교 아산이학관 525호
  • 연사
  • 이진봉(고려대학교)
- 일시: 2020.11.06.(금) 16:30-18:00
- 장소: 고려대학교 아산이학관 525호
- 연사: 이진봉(고려대학교)
- 제목: STRICHARTZ ESTIMATES FOR SPACE-TIME FRACTIONAL SCHRODINGER EQUATIONS
- 초록: In this talk, the speaker introduces the Strichartz type estimates for space-time fractional Schrodinger equations. By making use of the Besov norm and the Mittag-Leffler function, it will be shown that the regularity of the solutions depends on the ratio of the orders of time and space derivatives. In particular, if the ratio equals 2, it follows that the original Strichartz estimates can be recovered. The speaker also shows that the regularity of the solution is sharp in the sense of the Besov norm. 
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